how do you do this? Answer is already given just want to know the steps

Question

anonymous · Answer

attachment

mathstudent55 · Answer

All correct.
Here's your well-deserved medal!

anonymous · Answer

no but I would like to know how to solve them lol @mathstudent55

danjs · Answer

The average rate of change is the slope of the line over the given interval

mathstudent55 · Answer

Ok.
In each case, you need to divide a difference of temperature by the corresponding difference in time. Let me give you an example using the interval 1 - 2 minutes.

mathstudent55 · Answer

At 1 minute, the temp is 110 deg F.
At 2 minutes, the temp is 125 deg F.
The average change for that period is:
$\dfrac{125^o - 110^o}{2~ min - 1~ min} = 15\dfrac{deg}{min}$
Since they are always asking for deg per hour, you need to multiply by 60 to convert to degrees per hour.

mathstudent55 · Answer

So the average rate of change of temp for the 1 -2  min interval, in deg per hour is:
$15 \dfrac{deg}{min}\times \dfrac{60~min}{hour} = 900 \dfrac{deg}{hour} $

mathstudent55 · Answer

Now do this same calculation for every interval you are asked about.

anonymous · Answer

ohhhhhh

anonymous · Answer

oh wow conversions didnt see that wow thanks

mathstudent55 · Answer

You need the conversion bec the answers show units in deg/hr, not deg/min, but the info is given in deg and min.